We propose Poisson integrators for the numerical integration of separable Poisson systems. We analyze three situations in which the Poisson systems are separated in three ways and the Poisson integrators can be constructed by using the splitting method. Numerical results show that the Poisson integrators outperform the higher order non-Poisson integrators in phase orbit tracking, long-term energy conservation and efficiency.
翻译:我们建议 Poisson 集成器对分离的 Poisson 系统进行数字整合。 我们分析了三种情况,即Poisson 系统以三种方式分离,Poisson 集成器可以通过分离法构建。 数字结果显示,Poisson 集成器在相位轨道跟踪、长期节能和效率方面优于较高顺序的非Poisson 集成器。